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The Role of Faceting in \( {\mathbf{\{ 10\bar{1}2\} }} \) Twin Nucleation

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Magnesium Technology 2020

Part of the book series: The Minerals, Metals & Materials Series ((MMMS))

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Abstract

{1012} twinning is the most profuse twin mode in Mg and plays a major role in its plasticity and deformation . Identification of the mechanisms and locations of twinning nucleation is crucial to characterize the ensuing microstructural evolution and failure. Herein, we provide a new theory of hexagonal close-packed twin nucleation. In essence, the theory is that twins need a pre-existing interface upon which to grow. In the earliest stages of nucleation, this requirement implies that the twin must be able to facet onto the same plane as the local interface, whether it be a free surface, stacking fault, or grain boundary, and that the action of twinning must reduce the defect energy of the pre-existing structure in order to remain stable until it can grow large enough to emit disconnections. The theory is demonstrated on {1012} twin nucleation at grain boundaries and stacking faults in Mg via molecular dynamics.

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References

  1. E. Orowan, AIME, New York p. 69 (1954)

    Google Scholar 

  2. P. Price, J. Appl. Phys. 32(9), 1746 (1961)

    Google Scholar 

  3. J.W. Christian, The Theory of Transformations in Metals and Alloys: Part I + II. (Elsevier, 2002)

    Google Scholar 

  4. D. Oliver, Research 5, 45 (1952)

    Google Scholar 

  5. N.P. Allen, B.E. Hopkins, J.E. McLennan, Proc. R. Soc. London, Ser. A 234(1197), 221 (1956)

    Google Scholar 

  6. J.J. Cox, G. Horne, R. Mehl, T. Am. Soc. Metal 49, 118 (1957)

    Google Scholar 

  7. C. Barrett, H. El Kadiri, M. Tschopp, J. Mech. Phys. Solids 60(12), 2084 (2012). Cited By (since 1996) 0

    Google Scholar 

  8. R.L. Bell, R.W. Cahn, Proc. R. Soc. London, Ser. A 239, 494 (1957)

    Google Scholar 

  9. R.W. Cahn, Il Nuovo Cimento (1943–1954) 10, 350 (1953)

    Google Scholar 

  10. R.E. Reed-Hill, W.D. Robertson, Trans. Met. Soc. AIME 220, 496 (1957)

    Google Scholar 

  11. A.M. Garde, E. Aigeltinger, R.E. Reed-Hill, Metall. Trans. B 4(10), 2461 (1973)

    Google Scholar 

  12. R.E. Reed-Hill, in The Inhomogeneity of Plastic Deformation, ed. by R.E. Reed-Hill. American Society for Metals (American Society for Metals, Metals Park, OH, 1973), pp. 285–311

    Google Scholar 

  13. A.H. Cottrell, B.A. Bilby, Philos. Mag. Series 7 42(329), 573 (1951)

    Google Scholar 

  14. N. Thompson, D. Millard, Philos. Mag. 43, 422 (1952)

    Google Scholar 

  15. S. Mendelson, J. Appl. Phys. 40(4), 1988 (1969)

    Google Scholar 

  16. S. Mendelson, Mater. Sci. Eng. 4(4), 231 (1969)

    Google Scholar 

  17. S. Mendelson, Nat. Bur. Stand. (US), Spec. Publ. 317, 495 (1970)

    Google Scholar 

  18. S. Mendelson, J. Appl. Phys. 41(5), 1893 (1970)

    Google Scholar 

  19. S. Mendelson, Scr. Metall. 4(1), 5 (1970)

    Google Scholar 

  20. K.P.D. Lagerlöf, J. Castaing, P. Pirouz, A.H. Heuer, Philos. Mag. A 82(15), 2841 (2002)

    Google Scholar 

  21. L. Capolungo, D. Spearot, M. Cherkaoui, D. McDowell, J. Qu, K. Jacob, Journal of the Mechanics and Physics of Solids 55(11), 2300 (2007)

    Google Scholar 

  22. L. Capolungo, I. Beyerlein, Phys. Rev. B 78(2), 024117 (2008)

    Google Scholar 

  23. L. Capolungo, I.J. Beyerlein, G.C. Kaschner, C.N. Tomé, Mater. Sci. Eng., A 513–514, 42 (2009)

    Google Scholar 

  24. I.J. Beyerlein, C.N. Tomé, Proc. R. Soc. London, Ser. A 466(2121), 2517 (2010)

    Google Scholar 

  25. I. Beyerlein, L. Capolungo, P. Marshall, R. McCabe, C. Tomé, Philosophical Magazine 90(16), 2161 (2010)

    Google Scholar 

  26. J. Wang, I.J. Beyerlein, C.N. Tomé, Scr. Mater. 63(7), 741 (2010)

    Google Scholar 

  27. J. Wang, R.G. Hoagland, J.P. Hirth, L. Capolungo, I.J. Beyerlein, C.N. Tomé, Scr. Mater. 61, 903 (2009)

    Google Scholar 

  28. J. Wang, J.P. Hirth, C.N. Tomé, Acta Mater. 57, 5521 (2009)

    Google Scholar 

  29. J. Wang, L. Liu, C. Tomé, S. Mao, S. Gong, Materials Research Letters 1(2), 81 (2013)

    Google Scholar 

  30. A. Ostapovets, A. Serra, Journal of materials science 52(1), 533 (2017)

    Google Scholar 

  31. C.D. Barrett, H. El Kadiri, Acta Materialia 63, 1 (2014)

    Google Scholar 

  32. C.D. Barrett, H. El Kadiri, Acta Materialia 70, 137 (2014)

    Google Scholar 

  33. H. El Kadiri, C.D. Barrett, J. Wang, C.N. Tomé, Acta Materialia 85, 354 (2015)

    Google Scholar 

  34. A. Serra, D.J. Bacon, Philos. Mag. A 73(2), 333 (1996)

    Google Scholar 

  35. Y. Liu, N. Li, S. Shao, M. Gong, J. Wang, R. McCabe, Y. Jiang, C. Tomé, Nature communications 7, 11577 (2016)

    Google Scholar 

  36. S. Plimpton, J. Comput. Phys. 117(1), 1 (1995)

    Google Scholar 

  37. X. Liu, J. Adams, F. Ercolessi, J. Moriarty, Modell. Simul. Mater. Sci. Eng. 4, 293 (1996)

    Google Scholar 

  38. A. Stukowski, Modelling and Simulation in Materials Science and Engineering 18 (2010)

    Google Scholar 

  39. R. Pond, Philos. Mag. A 47(6), 49 (1983)

    Google Scholar 

  40. R. Pond, W. Bollmann, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences 292(1395), 449 (1979)

    Google Scholar 

  41. R. Pond, Dislocations and Properties of Real Materials (Institute of Metals, 1985), chap. Interfaces and dislocations, pp. 71–93

    Google Scholar 

  42. R. Pond, A. Bastaweesy, Le Journal de Physique Colloques 46(C4), 4 (1985)

    Google Scholar 

  43. R. Pond, M. Aindow, W. Clark, Scr. Metall. 21(7), 971 (1987)

    Google Scholar 

  44. A. Serra, D.J. Bacon, Philos. Mag. A 63(5), 1001 (1991)

    Google Scholar 

  45. A. Serra, D.J. Bacon, R.C. Pond, Acta Metall. 36, 3183 (1988)

    Google Scholar 

  46. A. Serra., R.C. Pond, D.J. Bacon, Acta Metall. Mater. 39(7), 1469 (1991)

    Google Scholar 

  47. A. Serra, D.J. Bacon, Mater. Sci. Forum 126, 69 (1993)

    Google Scholar 

  48. A. Serra, D.J. Bacon, Acta Metall. Mater. 43(12), 4465 (1995)

    Google Scholar 

  49. A. Serra, D.J. Bacon, R.C. Pond, Metall. Mater. Trans. A 33(3), 809 (2002)

    Google Scholar 

  50. C.D. Barrett, H. El Kadiri, Scripta Materialia 84, 15 (2014)

    Google Scholar 

  51. F. Wang, C.D. Barrett, R.J. McCabe, H. El Kadiri, L. Capolungo, S.R. Agnew, Acta Materialia 165, 471 (2019)

    Google Scholar 

  52. J. Wang, S. Yadav, J. Hirth, C. Tomé, I. Beyerlein, Materials Research Letters 1(3), 1 (2013)

    Google Scholar 

  53. J. Zhang, S.P. Joshi, J. Mech. Phys. Solids 60(5), 945 (2012)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Mississippi State University, Starkville, MS, 39762, USA

    Christopher D. Barrett

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  1. Christopher D. Barrett
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Correspondence to Christopher D. Barrett .

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Editors and Affiliations

  1. Tuscaloosa, AL, USA

    J. Brian Jordon

  2. University of Florida, Gainesville, FL, USA

    Victoria Miller

  3. Pacific Northwest National Laboratory, Richland, WA, USA

    Vineet V. Joshi

  4. IND LLC, South Jordan, UT, USA

    Neale R. Neelameggham

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Barrett, C.D. (2020). The Role of Faceting in \( {\mathbf{\{ 10\bar{1}2\} }} \) Twin Nucleation. In: Jordon, J., Miller, V., Joshi, V., Neelameggham, N. (eds) Magnesium Technology 2020. The Minerals, Metals & Materials Series. Springer, Cham. https://doi.org/10.1007/978-3-030-36647-6_21

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